Spectral analysis of singular ordinary differential operators with indefinite weights

被引：15

作者：

Behrndt, Jussi ^{[1
]}

Philipp, Friedrich ^{[2
]}

机构：

[1] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

[2] Tech Univ Ilmenau, Inst Math, D-98684 Ilmenau, Germany

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 248卷 / 08期

关键词：

Sturm-Liouville operator; Ordinary differential operator; Indefinite weight; Krein space; Definitizable operator; Critical point; Finite rank perturbation; Titchmarsh-Weyl theory; STURM-LIOUVILLE OPERATORS; SELF-ADJOINT OPERATORS; FINITE RANK PERTURBATIONS; KREIN SPACE;

D O I：

10.1016/j.jde.2009.11.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we develop a perturbation approach to investigate spectral problems for singular ordinary differential operators with indefinite weight functions We prove a general perturbation result on the local spectral properties of selfadjoint operators in Krem spaces which differ only by finitely many dimensions from the orthogonal sum of a fundamentally reducible operator and ail operator with finitely many negative squares. This result is applied to singular indefinite Sturm-Liouville operators and higher order singular ordinary differential operators with indefinite weight functions (C) 2009 Elsevier Inc All rights reserved

引用

页码：2015 / 2037

页数：23

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